How modeling a complex object into a shape draw by a sharp line?
I think i found something, not really easy.  

Create an armature, enter Edit mode, make it flat and subdivide the bone (W, subdivide and choose the number)
  

In pose mode (Ctrl+Tab), rotate and scale your bones to fit the shape you need
  

Select all your bones and store the pose in the pose library, we'll use it later. Now cancel the rotation of your bones and apply the pose as the rest pose.
  

Now add a cube, in edit mode, move the faces to fit the armature and add an edge loops for each bone joint. back in object mode, parent the mesh to the armature (select mesh 1st then armature, Ctrl+P, choose automatic weights)
  

Now select your bone object (the thing that you'll cut) duplicate it with Shift+D, move the duplicate to the armature and parent it to the 1st bone (select the mesh then the bone, Ctrl+P, choose bone). Do as much duplicates as you have bones and parent them the same way.
  

Now select all your bones (armature) and apply the pose your stored earlier and clear the scale (menu or Alt+S)
  

If the cube mesh needs it, correct the vertex groups. This should be simple with a lowpoly mesh and few bones.
  

Now apply the armature modifier on the cube and in edit mode separate the elements (select and P). Add faces to close them.
  

Now you have 3 cubes usable as booleans to cut the 3 bone objects where you need. You can easily move the bone objects along their local coordinates for minor adjustments.